Q$1$ : Consider a machine with a byte addressable main memory of bytes and block size of $8$ bytes. Assume that a direct mapped cache consisting of $32$ lines is used with this machine $.$

How is a $12-$bit memory address divided into tag, line number, and byte number? Into what line would bytes with each of the following addresses be stored?

$000100010001$

$001100110100$

Q$2$: Consider a machine with

The cache can hold $2$ MBytes.

Data are transferred between main memory and the cache in blocks of $4$ bytes each. The main memory consists of $32$ Mbytes.

How is the bits memory address divided into tag, line number, and byte number?